464523606355356 has 288 divisors, whose sum is σ = 1257264500244480. Its totient is φ = 144289978560000.

The previous prime is 464523606355339. The next prime is 464523606355357. The reversal of 464523606355356 is 653553606325464.

464523606355356 is a `hidden beast` number, since 4 + 6 + 4 + 5 + 2 + 3 + 60 + 6 + 35 + 535 + 6 = 666.

It is a super-2 number, since 2×464523606355356² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 464523606355293 and 464523606355302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464523606355357) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18399147925 + ... + 18399173171.

It is an arithmetic number, because the mean of its divisors is an integer number (4365501736960).

Almost surely, 2^{464523606355356} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464523606355356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628632250122240).

464523606355356 is an abundant number, since it is smaller than the sum of its proper divisors (792740893889124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

464523606355356 is a wasteful number, since it uses less digits than its factorization.

464523606355356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26825 (or 26820 counting only the distinct ones).

The product of its (nonzero) digits is 699840000, while the sum is 63.

The spelling of 464523606355356 in words is "four hundred sixty-four trillion, five hundred twenty-three billion, six hundred six million, three hundred fifty-five thousand, three hundred fifty-six".